Numerical methods for unsteady compressible multi-component reacting flows on fixed and moving grids

Deriving high precision schemes to compute turbulent flows on fixed or moving complex grids is becoming a central issue in the direct numerical simulation (DNS) and large eddy simulation (LES) community. The step between classical DNS/LES codes on fixed structured grids and future methods on moving unstructured grids is a significant evolution in terms of numerical methods. For reacting flows, this evolution must also include more precise descriptions of multispecies flows and boundary conditions. This paper describes the development of a method for unsteady multispecies reacting flows on moving grids. The target field of application of this method is DNS and LES but this paper focuses on the method development and elementary test cases. The theoretical basis for the numerical method, the boundary conditions and the moving grid extension are first discussed. Various tests of the method are then provided on fixed and moving grids for simple reacting and non-reacting flows to demonstrate the precision and power of the method in simple reference laminar cases.